Answer:
The difference between the largest and the smallest shares is $280
Step-by-step explanation:
Total amount to be shared = $560
Ratios of share are 2:3:9 => Total of 14 equal portions
To get one portion, $560 / 14 = $40
First share is 2, therefore $40 x 2 = $80 (smallest share)
Second share is 3, therefore $40 x 3 = $120
Third share is 9, therefore $40 x 9 = $360 (largest share)
<u>TOTAL = $560</u>
The difference between the largest and the smallest = $360 - $80
= $280
Answer:
Option (i)
Step-by-step explanation:
{2} has only 1 subset i.e. {2} and no other subset. While { } or ∅ has no subset.
Y=6x (1)
y=5x-7 (2)
Substitute y into (2)
(6x)=5x-7 -- subtract 5x from both sides
x=-7
Sub x into 1
y=6(-7)
y=-42
x=-7
y=-42
Answer:
30
Step-by-step explanation:
Answer:
18 Skittles
6 M&Ms
Step-by-step explanation:
Set up an equation:
Variable x = number of skittles
Variable y = number of M&Ms
1.50x + 2y = 39
x + y = 24
In the second equation, isolate a variable:
x = 24 - y
Substitute the value of x for 24 - y in the first equation:
1.50(24 - y) + 2y = 39
Use distributive property
36 - 1.5y + 2y = 39
Combine like terms
36 + 0.5y = 39
Isolate variable y:
0.5y = 3
y = 6
Substitute the value of y for 6 in the second equation:
x + 6 = 24
Isolate variable x:
x = 18
Plug these values into any equation of your choice to see if these values are correct (I'll do both equations just to prove it):
1.50(18) + 2(6) = 39
27 + 12 = 39
39 = 39
Correct
x + y = 24
18 + 6 = 24
24 = 24
Correct